Constrained Consumptions, Lipschitzian Demands, and Regular Economies - HAL Accéder directement au contenu
Article dans une revue Journal of Optimization Theory and Applications Année : 2006

Constrained Consumptions, Lipschitzian Demands, and Regular Economies

Résumé

We consider an exchange economy where the consumers face linear inequality constraints on consumption. We parametrize the economy with the initial endowments and constraints. We exhibit sufficient conditions on the constraints implying that the demand is locally Lipschitzian and continuously differentiable on an open dense subset of full Lebesgue measure. Using this property, we show that the equilibrium manifold is lipeomorphic to an open, connected subset of an Euclidean space and that the lipeomorphism is almost everywhere continuously differentiable. We prove that regular economies are generic and that they have a finite odd number of equilibrium prices and local differentiable selections of the equilibrium prices.
Loading...

Dates et versions

halshs-00265683, version 1 (19-03-2008)

Identifiants

Citer

Jean-Marc Bonnisseau, Jorge Rivera-Cayupi. Constrained Consumptions, Lipschitzian Demands, and Regular Economies. Journal of Optimization Theory and Applications, 2006, 131 (2), pp.179-193. ⟨10.1007/s10957-006-9147-z⟩. ⟨halshs-00265683⟩
71 Consultations
0 Téléchargements
Dernière date de mise à jour le 20/04/2024
comment ces indicateurs sont-ils produits

Altmetric

Partager

Gmail Facebook Twitter LinkedIn Plus